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100220121000 = 233253472712
BaseRepresentation
bin101110101010110010…
…1011010111110101000
3100120200111211122111100
41131111211122332220
53120222322333000
6114012425001400
710145355654456
oct1352545327650
9316614748440
10100220121000
113955971128a
121750b623260
1395b22c025c
144bca39d9d6
15291871aa00
hex175595afa8

100220121000 has 432 divisors, whose sum is σ = 351048047220. Its totient is φ = 25788336000.

The previous prime is 100220120951. The next prime is 100220121013. The reversal of 100220121000 is 121022001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 67748801796 + 32471319204 = 260286^2 + 180198^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1411550965 + ... + 1411551035.

Almost surely, 2100220121000 is an apocalyptic number.

100220121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175524023610).

100220121000 is an abundant number, since it is smaller than the sum of its proper divisors (250827926220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100220121000 is an equidigital number, since it uses as much as digits as its factorization.

100220121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100220121000 its reverse (121022001), we get a palindrome (100341143001).

It can be divided in two parts, 1002201 and 21000, that added together give a palindrome (1023201).

The spelling of 100220121000 in words is "one hundred billion, two hundred twenty million, one hundred twenty-one thousand".